The mean of the data set(9,5,y,2,x) is twice the data set(8,x,4,1,3).what is (y-x)

Answers

Answer 1

Answer:

\(y-x = 16\)

Step-by-step explanation:

Given

Set 1: (9,5,y,2,x)

Set 2: (8,x,4,1,3)

Required

(y - x)

First the mean values of set 1 and set 2 has to be calculated

For set 1

\(Mean _1 = \frac{(9+5+y+2+x)}{5}\)

Collect like terms

\(Mean _1 = \frac{9+5+2+y+x}{5}\)

\(Mean _1 = \frac{16+ y+x}{5}\)

For set 2

\(Mean _2 = \frac{(8+x+4+1+3)}{5}\)

Collect like terms

\(Mean _2 = \frac{8+4+1+3+x}{5}\)

\(Mean _2= \frac{16+ x}{5}\)

Given that the mean of set 1 is twice the mean of set 2;

\(Mean_1 = 2Mean_2\)

\(\frac{16+ y+x}{5} =2 * \frac{16+x}{5}\)

Multiply both sided by 5

\(5 * \frac{16+ y+x}{5} = 5 * 2 * \frac{16+x}{5}\)

\(16+ y+x = 2 * (16+x)\)

Open bracket

\(16+ y+x = 32 + 2x\)

Subtract 16 from both sides

\(16+ y+x- 16 = 32 + 2x - 16\)

\(16 - 16 + y+x = 32 - 16 + 2x\)

\(y+x = 16 + 2x\)

Subtract 2x from both sides

\(y+x-2x = 16 + 2x-2x\)

\(y-x = 16\)


Related Questions

Need this question answered

Need this question answered

Answers

Answer:

Answer is D or since there is no letters the last answer

Step-by-step explanation:

The customer service department of a company found that the relationship between the number of minutes a customer spends on hold when telephoning and the customer's level of satisfaction on a 10-point scale can be approximated by the equation y=10−0.1x
, where x
is the number of minutes on hold and y
is the level of satisfaction. What does 0.1 represent in the equation?

Answers

In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.

Define slope

it represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.

In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.

In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.

To Know more about variables, visit:

https://brainly.com/question/17344045

#SPJ1

Recall that with​ base-ten blocks: 1 long 10 ​units, 1 flat 10 ​longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given​ base?
a. 20 longs in base seven
b. 10 longs in base three

Answers

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

for such more question on fewest number

https://brainly.com/question/859564

#SPJ8

Identify the slope as positive, negative, zero or undefined

Identify the slope as positive, negative, zero or undefined

Answers

Answer:

Zero

Step-by-step explanation:

I need to find the slope and the y intercept of y=-1/4+3
and how to graph it

Answers

Answer:

The y-intercept is:  3   You will start at (0,3)

The slope is: 1/4 meaning that you will go up 1 and 4 to the right each time

Step-by-step explanation:

guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below.

A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500.

The counselor converts the frequency table to a conditional relative frequency table by column.

A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0.12, 0.88, 1.0. The third column is labeled lower than 90 with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries X, Y, 1.0.

What is the value of X?

0.16
0.20
0.24
0.40

Answers

Answer:

C:0.24

Step-by-step explanation:

The test scores of students in a math class are 56, 42, 50, 63, 58, 41, 50, 48, 68, and 48. What is the mean of this set of data?
A. 55.6
B. 50
C. 52.4
D. 48.6

Answers

answer: C

(1) 56 + (2) 42 + (3) 50 + (4) 63 + (5) 58+ (6) 41 + (7) 50 + (8) 48 + (9) 68 + (10) 48 = 524

524/10 = 52.4

Answer:

C. 52.4

Step-by-step explanation:

guys im kinda yk...... so help - Scientists use negative numbers to represent points below sea level and positive numbers to represent points above sea level. Jill is hang gliding 5/4 km above sea level. Directly below her, she sees a whale that is 0.1 km below sea level. What is the difference in elevation between Jill and the whale?

what is the answer...

Answers

Based on the distance that Jill is above sea level, and the distance of the whale, the difference in elevation is 1.35 km.

What is the difference in the level of elevation?

Jill's elevation relative to sea level is:

= +5/4 km

The whale's elevation relative to sea level is:

= - 0.1 km

The difference is therefore:

= 5/4 - (-0.1)

= 1.25 + 0.1

= 1.35 km

Find out more on elevation relative to sea level at https://brainly.com/question/10843282

#SPJ1

anyone wanna help me with this??

anyone wanna help me with this??

Answers

Answer:

1.c

2.b

3. c

4.d

Step-by-step explanation:

leave an brainlest!

What is sum of the vectors, LeftAngleBracket 4, negative 5 RightAngleBracket and LeftAngleBracket 10, 2 RightAngleBracket?

ANSWER: B
14,-3

Answers

Answer:

14,-3

Step-by-step explanation:

Answer:

14, -3

Step-by-step explanation:

I got it right edg 2023

Biologists studying the re-vegetation of two species of succulent plants in the South African desert examined the number of plants that survived depending on whether they were planted in multi-species clumps or planted alone. The following data resulted: Planted in Multi-Species Clumps Planted Alone Number of Species 1 Survived 64 87 Number of Species 2 Survived 34 47

Answers

Step-by-step explanation:

sorry these is notr qoustoin:(

HURRYYYYWhat are the coordinates of point P?

HURRYYYYWhat are the coordinates of point P?

Answers

Answer:

-2, -4.5

Step-by-step explanation:

Answer:

(-2,-4.5)

Step-by-step explanation:

(x, y) the point p is between-4 and-5

To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?

A √114
B √52
C 2020
D 5252
E 25

To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines

Answers

By using the formula for the distance we will see that the correct option is B:

√52

What distance did she find?

We will use the general formula to find the distance between two points (a, b) and (c, d)

it is:

distance = √( (a - c)^2 + (b - d)^2)

Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:

distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)

distance = √52

The correct option is B.

Learn more about the distance between two points:

https://brainly.com/question/7243416

#SPJ1

Write a multiplication sentence to show how 10 gallons and 300 miles are related. How are 5 gallons ad 150 miles related? How are 1 gallon and 30 miles related?

Answers

Answer:

It shows for each gallon consumed, we multiply by 30 to get the amount of miles

This applies for the three questions

Step-by-step explanation:

10 gallons and 300 miles are related in such a way that you divide the number if miles by number of gallons.

300/10 = 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

5 gallons ad 150 miles related in such a way that you divide the number if miles by number of gallons.

150/5 = 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

1 gallon and 30 miles related in such a way that you divide the number if miles by number of gallons.

30/1= 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

Match the system of linear equations on the left with its solution type on the right
1. Y=2x-1
Y=2x+1
2. Y-4x=-2

Answers

Solution for the given System of linear equation is:

Infinite number of solution(2, -3)(-2, 4)Infinite number of solutionWhat are System of equation?

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given,  the system of linear equations on the left with its solution type on the right

For  Y=2x-1 and Y=2x+1

Adding both equation,  we will get y = 4x

Thus, these equations have infinite number of solution

For 2x - y = 7 and 3x + y = 3

Adding these equations

5x = 10

x= 2

Substitute the value in equation 1

y = -3

Thus, solution is (2, - 3)

therefore, the Solution for the given System of linear equation is:

Infinite number of solution(2, -3)(-2, 4)Infinite number of solution

Learn more about System of equation here:

https://brainly.com/question/12628931

#SPJ1

Complete question:

Match the system of linear equations on the left with its solution type on the right 1. Y=2x-1Y=2x+12.

for which of the following is X=-5 a solution select all that apply 

for which of the following is X=-5 a solution select all that apply

Answers

Answer:

x + 10 = -5

|2x|=10

x<0

Let’s plug x=-5 into each function to determine if it is a domain value (x-value) given a range value (y-value).

Remember to follow PEMDAS since the variables will be eliminated:

(-5)+10=-5

5≠-5

Thus, x=-5 is not a solution to the first function. Let’s continue with the second equation:

-(-5)^2+50=25

-(25)+50=25

25=25

Thus, x=-5 IS a solution to this function.

|2(-5)|=10

|-10|=10

10=10

Thus, x=-5 IS a solution to this function.

(-5)<0

This is a true statement, so x=-5 IS a solution to the inequality.

2(-5)<10

-10<10

Thus, x=-5 IS a solution to the function.

So, here’s the list of equations that x=-5 satisfies:

✓ -x^2+50=25

✓ |2x|=10

✓ x<0

✓ 2x<10

There were 120 planes on an airfield. if 75% of the plane took off for a flight, how many planes took off?

Answers

Answer:

90 planes

Step-by-step explanation:

Take the total number of planes and multiply by the  percentage of planes that took off

120 * 75%

120 * .75

90

(a +2b)2 + 4b² - a²​

Answers

Answer:

a^2+4b^2+2a+4b

Step-by-step explanation:

(a +2b)2 + 4b² - a²​

=2a+4b+4b^2+a^2

=a^2+4b^2+2a+4b

The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.

Height above sea level:

The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the

Answers

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

If 3/5 of a bag of jelly beans weighs 6 3/4 ounces , how much does one bag of jelly beans weigh?

Answers

I *think* a full bag a jelly beans would be 45/4 oz or 11 1/4 oz

-3/5 of an bag weighs 6 3/4 oz, or 27/4 oz
-divide the 27 by 3 to get 1/5 of the weight, which gives you 9/4
-9/4 (5/1) (to get 5/5 of the weight) is 45/4
-45/4 is equal to 11 1/4

Hope this is right...

Line k is represented by the equation y = 2x + 2. Write
an equation of a line that is perpendicular to line k that also passes through the point (-2, 9)?

Answers

Step-by-step explanation:

so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.

the slope in

y = 2x + 2

is the factor of x : 2 or 2/1

the perpendicular slope is turning this upside down and flips the sign : -1/2

the point- slope form is

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being the point.

y - 9 = -1/2(x - -2)

y - 9 = (-1/2)x - 1

y = (-1/2)x + 8

ASAP PLEASE HELP I NEED KT

ASAP PLEASE HELP I NEED KT

Answers

Answer:

  a) $136,283.49

  b) $360,000

  c) $223,716.51

Step-by-step explanation:

a) The amortization formula tells the relationship between the monthly payment (A) and the principal (P).

  A = P(r/12)/(1 -(1 +r/12)^(-12t)

Monthly payment on loan of P at annual rate r for t years.

  P = $1000(12/0.08)(1 -(1 +0.08/12)^(-12·30)) ≈ $136,283.49

You can afford a loan of $136,283.49.

__

b) The 360 payments of $1000 each will total $360,000.

You will pay the loan company $360,000.

__

c) The interest is the difference between what you paid and what you received.

  interest = $360,000 -136,283.49 = $223,716.51

Of the amount you repay, $223,716.51 is interest.

the diameter of a circle is 18in find its area to the nearest tenth

Answers

Answer:

approximately 254.5

btw area of circle= pi multiplied by radius

Step-by-step explanation: I got you bro

Answer: Circle area = π * r² = π * 81 [inch²] ≈ 254.47 [in²]

but because it asks for nearest tenth

254.5 in²

this is your real answer

What angle is 3 times its complement?; What angle is equal to 2 times its complement?; Is the supplement of an angle is three times its complement?; What is the complementary angle of 2 by 3?

Answers

The complementary angle is x= 36 degrees.

What are angles?

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

According to our question-

The complementary angle is x

Complementary angles total to a straight angle (90 degrees) (90 degrees).

x + (2/3)x = 90

(3/3)x + (2/3)x = 90

(5/3)x = 90

x = 90(3/5)

x = 54 degrees

The angle is 2/3 of this

The angle is (2/3)54 = 36 degrees

learn more about angles click here:

brainly.com/question/25716982

#SPJ4

5 x 7 = 7 x 5
What algebraic property is illustrated above?
A. commutative property of multiplication
B. associative property of multiplication
C. distributive property
D. transitive property

Answers

A. Commutative Property

Answer:

A. commutative property of multiplication

Step-by-step explanation:

The commutative property of multiplication ,

States that when two numbers are being multiplied, their order can be changed without affecting the product.

Dilations… please help I will give you brainless

Dilations please help I will give you brainless

Answers

Answer:

The scale factor is 0.5

Step-by-step explanation:

Divide.

2/1=2

4/2=2

4/2=2

8/4=2

2/1=2

5/1.25=2

Now then, since this is a shrinking factor, divide 1 by the common outcome from the last section (2) to get 0.5

The triangle is to be reduced by a ratio of 1:2.
a

Answers

Answer:

where is the triangle?

Step-by-step explanation:

a) calculate the reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm. b) is this flow around the sphere turbulent? (yes/no/maybe) c) calculate the reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm.

Answers

a) The Reynolds number for a sphere moving in air is 83,333.33.

b) Yes, Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

c) The Reynolds number for a sphere moving in water is 150,000.

Reynolds Number Sphere Flow

a) To calculate the Reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of air is 1.2 kg/m³, viscosity of air is 1.78 x 10⁻⁵ Ns/m² and diameter is 0.1m.

Re = (1.2 * 15 * 0.1) / (1.78 x 10⁻⁵)

Re = 83333.33

b) Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000). So, the answer is yes.

c) To calculate the Reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of water is 1000 kg/m³ and viscosity of water is 0.001 Ns/m².

Re = (1000 * 15 * 0.1) / (0.001)

Re = 150000

Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

Learn more about Reynolds Number Sphere Flow here:

https://brainly.com/question/12977616

#SPJ4

Use implicit differentiation to find an equation of the tangent line to the curve
sin(x+y)=4x−4y at the point (π,π)

Answers

Answer:

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Step-by-step explanation:

o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:

Differentiate both sides of the equation with respect to x:

cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx

Simplify by grouping the terms with dy/dx on one side and the rest on the other side:

cos(x+y) * (1 + dy/dx) + 4dy/dx = 4

Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):

cos(2π) * (1 + dy/dx) + 4dy/dx = 4

Simplify:

-5dy/dx = 4 - cos(2π)

dy/dx = -4/5

Use the point-slope form of the equation of a line to write the equation of the tangent line:

y - π = (-4/5)(x - π)

Simplify:

y = (-4/5)x + (8/5) + π

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Justice needs 24 feet of fencing to surround his garden. The fencing is priced at $0.25 per inch how much will it cost justice to fence in his garden?

Answers

Answer:

66 dollars

Step-by-step explanation:

Justice needs $72 to fence in his garden.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Justice needs 24 feet of fencing to surround his garden.

The fencing is priced at $0.25 per inch.

Since, 1 foot = 12 inch

Hence, 24 feet = 24 x 12 inch = 288 inch.

Cost of the fencing in one inch = $0.25

So, Cost of the fencing in 288 inch = 288 x 0.25

                                                      = $72

Thus, Justice needs $72 to fence in his garden.

Learn more about the multiplication visit:

https://brainly.com/question/16788360

#SPJ6

Other Questions
A child whirls a ball around in circles on the end of a 48 cm long string at a frequency of 2.5 Hz. What is the balls centripetal acceleration? Scott earned 20 points more on his most recent math test than he earned on the previous test. If he earned at least 80 points on the most recent math test, how many points did he earn on the previous test?Question 16 options:s 60s 60 Pls ans I will beg u I will mark u as brilliant who ever answers by explaining and first only u will give brilliant Which one of the following graphs is the graph of:3if -2 < x < 01if x = 0if 0 < x 2f(x) =A.44B.4--(x + 1)? At the beginning of the 1900s, about people lived in Florida.During the first half of the twentieth century, the population of Florida .From 1940 to 1950, Florida's population grew by almost people. It takes dan 20 minutes to complete 2 pages of homework at this rate how many pages does he complete in 200 minutes Subtract. 130.6147.06 Enter your answer in the box. 1. What did the Radical Republicans believe?O A. Confederate leaders should be rewarded for their roles in the Civil War.OB. Black people should have the same political rights and opportunities as White people.O C. Black people should have less political rights than White people.O D. Confederate leaders should retain some power Which describes the role of oxygen in photosynthesis? A. It is a reactant, so it is released by the plant. B. It is a product, so it is released by the plant. C. It is a reactant so it enters the plant. D. It is a product, so it enters the plant. What is the play within a play's title How does the king react to the play? what is the slope and y-intercept of 5x + y =6 Identify the scope that your company involves in design and manufacturing process. From the scope, describe the processes in a process flow change and elaborate the functions of each process steps. Use a flow chart if applicable.(Suggested word count: 500 words) ......... export facilities as an important businessman?1- Do you have to2-Do you have3-Have you got4-Does you do1 or 2 please ? Calculate the standard score (z-score) of the given sample mean. Round your answer to two decimal places.=31 and =9; n=64; x=30 In which quadrant does the point P(-2 , 4) lie In the anatomical position the face and palms are on the? Renata is purchasing a condominium for $ 125,000. She wants to put down a down payment of 20%. Select all the true statements. Perpendicular and Angle bisectors Select all that apply.The early Muslims greatly advanced knowledge in _____.mathematicsmedicineastronomywarfarelinguistics How did the English presence in North Carolina affect native people over time? (FIRST GETS BRAINLIEST PLEASE HURRY D: It led to English people becoming laborers in native farming villages to help increase production.It created a cooperative and extensive trade partnership for native products.It led to conflict and violence, and many natives were killed.It led to a military alliance against the French that tried to move into the area.